Breckie Electrics makes electric shavers. The life x of an electric shaver manufactured by this corporation has a normal distribution with a mean of 70 months and a standard deviation of 6 months. The company is to determine the warranty period for this shaver. Any shaver that needs a major repair during this warranty period will be replaced free by the company. (a) What should the warranty period be if the company does not want to replace more than 6% of the shavers? (b) Find x such that 75% of shavers life is less than x? (c) What percentage of shavers do not need major servicing before 90 months?

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Q5. Breckie Electrics makes electric shavers. The life x of an electric shaver manufactured by
this corporation has a normal distribution with a mean of 70 months and a standard deviation
of 6 months. The company is to determine the warranty period for this shaver. Any shaver
that needs a major repair during this warranty period will be replaced free by the company.
(a) What should the warranty period be if the company does not want to replace more than
6% of the shavers?
(b) Find x such that 75% of shavers life is less than x?
(c) What percentage of shavers do not need major servicing before 90 months?
Transcribed Image Text:Q5. Breckie Electrics makes electric shavers. The life x of an electric shaver manufactured by this corporation has a normal distribution with a mean of 70 months and a standard deviation of 6 months. The company is to determine the warranty period for this shaver. Any shaver that needs a major repair during this warranty period will be replaced free by the company. (a) What should the warranty period be if the company does not want to replace more than 6% of the shavers? (b) Find x such that 75% of shavers life is less than x? (c) What percentage of shavers do not need major servicing before 90 months?
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